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Finding the Fourth Proportional to 230.96, 347.18 and 185.81

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Solution

The fourth proportional to 230.96, 347.18 and 185.81 is: 279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.96 : 347.18 = 185.81 : x
  2. Step 2: Convert to fraction form
    230.96/347.18 = 185.81/x
  3. Step 3: Cross multiply
    230.96x = 347.18 × 185.81
  4. Step 4: Simplify right side
    230.96x = 64,506.85
  5. Step 5: Solve for x
    x = 64,506.85/230.96
  6. Step 6: Final answer
    x = 279.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.